Publications

Papers in peer-reviewed journals

2012

• Approximation schemes for monotone systems of nonlinear second order partial differential equations: convergence result and error estimate
  Ariela Briani, Fabio Camilli and Hasnaa Zidani
  Differential Equations and Applications, vol. 4, pp. 297--317, 2012   

2011

• Characterisation of the value function of final state constrained control problems with BV trajectories
  Ariela Briani and Hasnaa Zidani
  Communication in Pure and Applied Analysis., vol. 10(6), pp. 1567-1587, 2011    [ ]   
• Diffusion as a singular homogenization of the Frenkel-Kontorova model,
  Nathael Alibaud, Ariela Briani and Régis Monneau
  J. Differential Equations, vol. 251, pp. 785-815, jul, 2011   
• On the gradient flow of a one-homogeneous functional
  Ariela Briani, Antonin Chambolle, Matteo Novaga and Orlandi Giandomenico
  Confluentes Mathematici, vol. 3 (4), pp. 617-635, 2011   

2009

• Minumum time control problems for non autonomous differential equations
  Olivier Bokanowski, Ariela Briani and Hasnaa Zidani
  Systems and Control Letters, vol. 58(10-11), pp. 742-746, 2009   
• Time-homogenization of a first order system arising in the modelling of the dynamics of dislocations densities
  Ariela Briani and Régis Monneau
  Comptes Rendus de l'Académie des sciences Paris Ser. I, vol. 347,, pp. 231-236, 2009   

2005

• A density approach to Hamilton-Jacobi equations with t-measurable Hamiltonians
  Ariela Briani and Franco Rampazzo
  Nonlinear Differential Equations and Applications NoDEA, vol. 12(1), pp. 71-91, may, 2005   
• Monge Solutions for discontinuous Hamiltonians
  Ariela Briani and Andrea Davini
  ESAIM: Control, Optimisation and Calculus of Variations, vol. 11(2), pp. 229-251, 2005   
• Sequences of L-infinity optimal control problems, Gamma-convergence and Hamilton-Jacobi equations,
  Ariela Briani
  Asymptotic Analysis, vol. 45 (3-4), pp. 171-190, 2005   

2004

• Homogenization of L-infinity functionals
  Ariela Briani, Adriana Garroni and Francesca Prinari
  Mathematical Models and Methods in Applied Sciences, vol. 14(12), pp. 1761-1784, 2004   

2003

• A representation result for Gamma-limit of supremal functionals
  Ariela Briani and Francesca Prinari
  Journal of Nonlinear and Convex Analysis, vol. 2,, pp. 245-268, 2003   

2001

• Lie algebraic obstruction to Gamma-convergence of optimal control problems
  Ariela Briani and Franco Rampazzo
  SIAM Journal on Control and Optimization, vol. 40(2), pp. 370-392, 2001   

2000

• Convergence of Hamilton-Jacobi equations for sequences of optimal control problems
  Ariela Briani
  Communications in Applied Analysis, vol. 4, pp. 227-244,, 2000   

1999

• A Hamilton-Jacobi equation with measures arising in Gamma-convergence of optimal control problems
  Ariela Briani
  Differential and Integral Equations, vol. 12(6), pp. 849-886, 1999   

Chapters

2002

• Gamma-convergence for infinite dimensional optimal control problem,
  Paolo Acquistapace and Ariela Briani
  Evolution Equations, Semigroups and Functional Analysis, Progress in Nonlinear Differential Equations and Their Applications, vol. 50, Birkhauser,, 2002   

1998

• A priori estimates for the approximation of a parabolic boundary control problem
  Ariela Briani and Maurizio Falcone
  Control and Estimation of Distributed Parameter Systems,, vol. 126, pp. 49-65, Birkhauser Verlag, 1998   

Conferences without proceedings

2009

• A minimum time problem with discontinuous data
  O. Bokanowski, Ariela Briani and H. Zidani
  14 th Belgian-French-German Conference on Optimization Leuven, Belgium, sep, 2009   
• A minimum time problem with discontinus data
  O. Bokanowski, Ariela Briani and H. Zidani
  German-Polish Conference on Optimization, Moritzburg Germany, mar, 2009   
• Problèmes de contrôle optimal avec données mesure
  Ariela Briani and H. Zidani
  Mathémathiques de l'optimisation et Applications GdR 32 73 MOA, Proquerolles, France,, nov, 2009   

Activity report

2011

• On the gradient flow of a one-homogeneous functional
  Ariela Briani, Antonin Chambolle, Matteo Novaga and Orlandi Giandomenico
  2011